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In multi-user MIMO broadcast systems, utilize the simple zero-forcing receiver on top of the TDMA scheduling can obtain good performance. In , a TDMA scheduling strategy which based on the maximum capacity criterion has been proposed, but the author does not analysis the system performance theoretically for arbitrary finite number of users. In this paper, we focus on the 2times2 multi-user MIMO broadcast scenario and give an approximate closed-form expression for the scheduling strategy which proposed. Simulation results show that the expression we deduced can accurate characterize the system capacity under different SNR regions for arbitrary finite number of users.